379476720 has 480 divisors, whose sum is σ = 1593326592. Its totient is φ = 78962688.

The previous prime is 379476709. The next prime is 379476749. The reversal of 379476720 is 27674973.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3684189 + ... + 3684291.

Almost surely, 2^379476720 is an apocalyptic number.

379476720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379476720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796663296).

379476720 is an abundant number, since it is smaller than the sum of its proper divisors (1213849872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379476720 is a wasteful number, since it uses less digits than its factorization.

379476720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 379476720 is about 19480.1622169837. The cubic root of 379476720 is about 723.9830180281.

The spelling of 379476720 in words is "three hundred seventy-nine million, four hundred seventy-six thousand, seven hundred twenty".